Amanufacturer of carpentry screws claims that its production machine is very accurate and that the standard deviation of the length of all screws produced is .08 mm or less. a sample of 30 screws showed a standard deviation of .10. the test statistic to test the manufacturer's claim is a. 45.31 b. 19.2 c. 23.2 d. 18.56

Option (a) 45.31

Step-by-step explanation:

Data provided in the question:

Standard deviation, σ = 0.08 mm

Sample size, n = 30

standard deviation of 30 samples, s = 0.10

Now,

σ² = (0.08)² = 0.0064

s² = (0.10)² = 0.01

Test Statistic = [ ( n - 1) × s²] ÷ σ²

or

Test Statistic = [ (30 - 1 ) × 0.01 ] ÷ 0.0064

= ( 29 × 0.01 ) ÷ 0.0064

= 45.31

Hence,

Option (a) 45.31

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls